Hello Epselon (if that is your name),
This sounds like homework questions. From the R-help posting guide:
"Basic statistics and classroom homework: R-help is not intended for
these."
If you have a specific question on R coding, do ask it (and provide
reproducible code). But you should not expect for people on the list to
do your homework for you. That is a big no-no.
Cheers,
Julian
Epselon wrote:
> I have three problems I am trying to simulate, that I am having difficulty
> getting around with.
>
> Problem 1.
> I want to determine the 85 percentile (the x value for which the sum of
> probabilities becomes 0.85) of the following distributions (two binomials
> and a Poisson with rate Lmbda= np of the two binomials): X ~B(10, 0.3),
> Y~P(3) ,
> Z~B(30, 0.1). I want to show that that Y is a good approximation for Z but
> not for X...(by examining these distributions for few
> different percentiles)
>
> Problem 2:
> For a binomial distribution X ~ B(20, 0.4), I want to use R to calculate
> P{|X − μ| < 2} and verify that it is near or larger than 0.95. (Hint from
> the text book: Since μ = 8 and 2.3 then you may want to read the
> weights, or probabilities, of the values 6:10, into a vector v and then use
> the command sum(v) to
> calculate the sum.) Repeat this for another set of parameters of your
> choice.
>
> Problem 3:
> Draw a sample of size 10, from a Poisson with Lambda= 5, and calculate the
> mean and the standard deviation of this sample, Repeat this calculation with
> size 20 and 30 and demonstrate
> that ¯X gets closer to μ as the sample size increases.
>
> Thanks.
>
> I would appreciate it if someone accompanied the codes with a brief
> explanation so I can be able to replicate it myself.
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